11 citations · 26 across the 13 of their papers we have counts for
4 papers · 1 filter
On a capacitary strong type inequality and related capacitary estimates
Keng Hao Ooi, Nguyen Cong Phuc
We establish a Maz'ya type capacitary inequality which resolves a special case of a conjecture by David R. Adams. As a consequence, we obtain several equivalent norms for Choquet i…
Characterizations of predual spaces to a class of Sobolev multiplier type spaces
Keng Hao Ooi, Nguyen Cong Phuc
We characterize preduals and Köthe duals to a class of Sobolev multiplier type spaces. Our results fit in well with the modern theory of function spaces of harmonic analysis and ar…
Existence and regularity estimates for quasilinear equations with measure data: the case
Quoc-Hung Nguyen, Nguyen Cong Phuc
We obtain existence and global regularity estimates for gradients of solutions to quasilinear elliptic equations with measure data whose prototypes are of the form $-{\rm div} (|\n…
Quasilinear Riccati type equations with oscillatory and singular data
Quoc-Hung Nguyen, Nguyen Cong Phuc
We characterize the existence of solutions to the quasilinear Riccati type equation \begin{eqnarray*} \left\{ \begin{array}{rcl} -{\rm div}\,\mathcal{A}(x, \nabla u)&=& |\nabla u|^…